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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PRO014+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:30:26 PM UTC 2026

% Result   : Theorem 9.40s 2.19s
% Output   : Refutation 9.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  198 (  32 unt;   9 def)
%            Number of atoms       :  739 (  15 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  911 ( 370   ~; 420   |;  98   &)
%                                         (  15 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  10 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  264 (   0 sgn 232   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => ~ root(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

fof(f23,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( min_precedes(X0,X1,X2)
        & ~ ? [X3] :
              ( min_precedes(X0,X3,X2)
              & min_precedes(X3,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).

fof(f29,axiom,
    ! [X0,X1,X2,X3] :
      ( ( occurrence_of(X1,X0)
        & arboreal(X2)
        & arboreal(X3)
        & subactivity_occurrence(X2,X1)
        & subactivity_occurrence(X3,X1) )
     => ( min_precedes(X2,X3,X0)
        | min_precedes(X3,X2,X0)
        | X2 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] :
      ( ( min_precedes(X0,X1,X2)
        & occurrence_of(X3,X2)
        & subactivity_occurrence(X1,X3) )
     => subactivity_occurrence(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & next_subocc(X3,X4,tptp0)
          & leaf(X4,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f40,axiom,
    atomic(tptp2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).

fof(f41,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).

fof(f42,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).

fof(f49,conjecture,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2,X3] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & leaf(X3,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f50,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( occurrence_of(X1,tptp0)
          & subactivity_occurrence(X0,X1)
          & arboreal(X0)
          & ~ leaf_occ(X0,X1) )
       => ? [X2,X3] :
            ( occurrence_of(X2,tptp3)
            & next_subocc(X0,X2,tptp0)
            & ( occurrence_of(X3,tptp2)
              | occurrence_of(X3,tptp1) )
            & min_precedes(X2,X3,tptp0)
            & leaf(X3,tptp0) ) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ~ root(X1,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( min_precedes(X0,X1,X2)
        & ! [X3] :
            ( ~ min_precedes(X0,X3,X2)
            | ~ min_precedes(X3,X1,X2) ) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | ~ subactivity_occurrence(X3,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f87,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | ~ subactivity_occurrence(X3,X1) ),
    inference(flattening,[],[f86]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3] :
      ( subactivity_occurrence(X0,X3)
      | ~ min_precedes(X0,X1,X2)
      | ~ occurrence_of(X3,X2)
      | ~ subactivity_occurrence(X1,X3) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3] :
      ( subactivity_occurrence(X0,X3)
      | ~ min_precedes(X0,X1,X2)
      | ~ occurrence_of(X3,X2)
      | ~ subactivity_occurrence(X1,X3) ),
    inference(flattening,[],[f88]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & next_subocc(X3,X4,tptp0)
          & leaf(X4,tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & next_subocc(X3,X4,tptp0)
          & leaf(X4,tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(flattening,[],[f96]) ).

fof(f98,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp2)
            & ~ occurrence_of(X3,tptp1) )
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf(X3,tptp0) )
      & occurrence_of(X1,tptp0)
      & subactivity_occurrence(X0,X1)
      & arboreal(X0)
      & ~ leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f99,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp2)
            & ~ occurrence_of(X3,tptp1) )
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf(X3,tptp0) )
      & occurrence_of(X1,tptp0)
      & subactivity_occurrence(X0,X1)
      & arboreal(X0)
      & ~ leaf_occ(X0,X1) ),
    inference(flattening,[],[f98]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | ? [X3] : min_precedes(X0,X3,X1) )
      & ( ( ( root(X0,X1)
            | ? [X2] : min_precedes(X2,X0,X1) )
          & ! [X3] : ~ min_precedes(X0,X3,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | ? [X3] : min_precedes(X0,X3,X1) )
      & ( ( ( root(X0,X1)
            | ? [X2] : min_precedes(X2,X0,X1) )
          & ! [X3] : ~ min_precedes(X0,X3,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(flattening,[],[f107]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | ? [X3] : min_precedes(X0,X3,X1) )
      & ( ( ( root(X0,X1)
            | ? [X4] : min_precedes(X4,X0,X1) )
          & ! [X5] : ~ min_precedes(X0,X5,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(rectify,[],[f108]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ( ~ root(X0,X1)
          & ! [X2] : ~ min_precedes(X2,X0,X1) )
        | min_precedes(X0,sK5(X0,X1),X1) )
      & ( ( ( root(X0,X1)
            | min_precedes(sK6(X0,X1),X0,X1) )
          & ! [X5] : ~ min_precedes(X0,X5,X1) )
        | ~ leaf(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f109]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X3] :
              ( ~ min_precedes(X0,X3,X2)
              | ~ min_precedes(X3,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X3] :
              ( ~ min_precedes(X0,X3,X2)
              | ~ min_precedes(X3,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(flattening,[],[f111]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X4] :
              ( ~ min_precedes(X0,X4,X2)
              | ~ min_precedes(X4,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(rectify,[],[f112]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ( min_precedes(X0,sK7(X0,X1,X2),X2)
          & min_precedes(sK7(X0,X1,X2),X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X4] :
              ( ~ min_precedes(X0,X4,X2)
              | ~ min_precedes(X4,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f113]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK9(X0,X1,X2),X0)
        & subactivity_occurrence(X1,sK9(X0,X1,X2))
        & subactivity_occurrence(X2,sK9(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f81]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK14(X0),tptp3)
        & next_subocc(X0,sK14(X0),tptp0)
        & occurrence_of(sK15(X0),tptp4)
        & next_subocc(sK14(X0),sK15(X0),tptp0)
        & ( occurrence_of(sK16(X0),tptp2)
          | occurrence_of(sK16(X0),tptp1) )
        & next_subocc(sK15(X0),sK16(X0),tptp0)
        & leaf(sK16(X0),tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X2,sK14(X0)),skolemize(X3,sK15(X0)),skolemize(X4,sK16(X0))],[f97]) ).

fof(f126,plain,
    ( ! [X2,X3] :
        ( ~ occurrence_of(X2,tptp3)
        | ~ next_subocc(sK17,X2,tptp0)
        | ( ~ occurrence_of(X3,tptp2)
          & ~ occurrence_of(X3,tptp1) )
        | ~ min_precedes(X2,X3,tptp0)
        | ~ leaf(X3,tptp0) )
    & occurrence_of(sK18,tptp0)
    & subactivity_occurrence(sK17,sK18)
    & arboreal(sK17)
    & ~ leaf_occ(sK17,sK18) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f99]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | ~ root(X1,X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f158,plain,
    ! [X0,X1,X5] :
      ( ~ min_precedes(X0,X5,X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( min_precedes(sK6(X0,X1),X0,X1)
      | root(X0,X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK9(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f179,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subactivity_occurrence(X3,X1)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | min_precedes(X2,X3,X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f180,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | subactivity_occurrence(X0,X3)
      | ~ occurrence_of(X3,X2)
      | ~ subactivity_occurrence(X1,X3) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | leaf(sK16(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(sK15(X0),sK16(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | occurrence_of(sK16(X0),tptp1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK16(X0),tptp2)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(sK14(X0),sK15(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(X0,sK14(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK14(X0),tptp3)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f199,plain,
    atomic(tptp2),
    inference(cnf_transformation,[],[f40]) ).

fof(f200,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f41]) ).

fof(f201,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f42]) ).

fof(f208,plain,
    ~ leaf_occ(sK17,sK18),
    inference(cnf_transformation,[],[f126]) ).

fof(f209,plain,
    arboreal(sK17),
    inference(cnf_transformation,[],[f126]) ).

fof(f210,plain,
    subactivity_occurrence(sK17,sK18),
    inference(cnf_transformation,[],[f126]) ).

fof(f211,plain,
    occurrence_of(sK18,tptp0),
    inference(cnf_transformation,[],[f126]) ).

fof(f212,plain,
    ! [X2,X3] :
      ( ~ next_subocc(sK17,X2,tptp0)
      | ~ occurrence_of(X2,tptp3)
      | ~ occurrence_of(X3,tptp1)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ leaf(X3,tptp0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f213,plain,
    ! [X2,X3] :
      ( ~ next_subocc(sK17,X2,tptp0)
      | ~ occurrence_of(X2,tptp3)
      | ~ occurrence_of(X3,tptp2)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ leaf(X3,tptp0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f214,plain,
    ( ~ occurrence_of(sK18,tptp0)
    | occurrence_of(sK14(sK17),tptp3)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(resolution,[],[f195,f210]) ).

fof(f215,plain,
    ( occurrence_of(sK14(sK17),tptp3)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f214,f211]) ).

fof(f216,plain,
    ( occurrence_of(sK14(sK17),tptp3)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f215,f209]) ).

fof(f217,plain,
    occurrence_of(sK14(sK17),tptp3),
    inference(forward_subsumption_resolution,[],[f216,f208]) ).

fof(f218,plain,
    ( ~ occurrence_of(sK18,tptp0)
    | next_subocc(sK17,sK14(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(resolution,[],[f194,f210]) ).

fof(f219,plain,
    ( next_subocc(sK17,sK14(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f218,f211]) ).

fof(f220,plain,
    ( next_subocc(sK17,sK14(sK17),tptp0)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f219,f209]) ).

fof(f221,plain,
    next_subocc(sK17,sK14(sK17),tptp0),
    inference(forward_subsumption_resolution,[],[f220,f208]) ).

fof(f222,plain,
    ( ~ occurrence_of(sK18,tptp0)
    | leaf(sK16(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(resolution,[],[f189,f210]) ).

fof(f223,plain,
    ( leaf(sK16(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f222,f211]) ).

fof(f224,plain,
    ( leaf(sK16(sK17),tptp0)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f223,f209]) ).

fof(f225,plain,
    leaf(sK16(sK17),tptp0),
    inference(forward_subsumption_resolution,[],[f224,f208]) ).

fof(f226,plain,
    ( ~ occurrence_of(sK18,tptp0)
    | next_subocc(sK14(sK17),sK15(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(resolution,[],[f192,f210]) ).

fof(f227,plain,
    ( next_subocc(sK14(sK17),sK15(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f226,f211]) ).

fof(f228,plain,
    ( next_subocc(sK14(sK17),sK15(sK17),tptp0)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f227,f209]) ).

fof(f229,plain,
    next_subocc(sK14(sK17),sK15(sK17),tptp0),
    inference(forward_subsumption_resolution,[],[f228,f208]) ).

fof(f230,plain,
    ( ~ occurrence_of(sK18,tptp0)
    | next_subocc(sK15(sK17),sK16(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(resolution,[],[f190,f210]) ).

fof(f231,plain,
    ( next_subocc(sK15(sK17),sK16(sK17),tptp0)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f230,f211]) ).

fof(f232,plain,
    ( next_subocc(sK15(sK17),sK16(sK17),tptp0)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f231,f209]) ).

fof(f233,plain,
    next_subocc(sK15(sK17),sK16(sK17),tptp0),
    inference(forward_subsumption_resolution,[],[f232,f208]) ).

fof(f241,plain,
    min_precedes(sK14(sK17),sK15(sK17),tptp0),
    inference(resolution,[],[f229,f163]) ).

fof(f242,plain,
    min_precedes(sK15(sK17),sK16(sK17),tptp0),
    inference(resolution,[],[f233,f163]) ).

fof(f243,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | ~ occurrence_of(sK18,tptp0)
    | occurrence_of(sK16(sK17),tptp2)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(resolution,[],[f191,f210]) ).

fof(f244,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | occurrence_of(sK16(sK17),tptp2)
    | ~ arboreal(sK17)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f243,f211]) ).

fof(f245,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | occurrence_of(sK16(sK17),tptp2)
    | leaf_occ(sK17,sK18) ),
    inference(forward_subsumption_resolution,[],[f244,f209]) ).

fof(f246,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | occurrence_of(sK16(sK17),tptp2) ),
    inference(forward_subsumption_resolution,[],[f245,f208]) ).

fof(f248,definition,
    ( spl19_1
  <=> occurrence_of(sK16(sK17),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).

fof(f250,plain,
    ( occurrence_of(sK16(sK17),tptp2)
    | ~ spl19_1 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f252,definition,
    ( spl19_2
  <=> occurrence_of(sK16(sK17),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).

fof(f254,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | ~ spl19_2 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f255,plain,
    ( spl19_1
    | spl19_2 ),
    inference(avatar_split_clause,[],[f246,f252,f248]) ).

fof(f256,plain,
    ! [X0] :
      ( ~ occurrence_of(sK14(sK17),tptp3)
      | ~ occurrence_of(X0,tptp1)
      | ~ min_precedes(sK14(sK17),X0,tptp0)
      | ~ leaf(X0,tptp0) ),
    inference(resolution,[],[f212,f221]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ min_precedes(sK14(sK17),X0,tptp0)
      | ~ occurrence_of(X0,tptp1)
      | ~ leaf(X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f256,f217]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ occurrence_of(sK14(sK17),tptp3)
      | ~ occurrence_of(X0,tptp2)
      | ~ min_precedes(sK14(sK17),X0,tptp0)
      | ~ leaf(X0,tptp0) ),
    inference(resolution,[],[f213,f221]) ).

fof(f269,plain,
    ! [X0] :
      ( ~ min_precedes(sK14(sK17),X0,tptp0)
      | ~ occurrence_of(X0,tptp2)
      | ~ leaf(X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f268,f217]) ).

fof(f274,plain,
    ( ~ atomic(tptp3)
    | arboreal(sK14(sK17)) ),
    inference(resolution,[],[f137,f217]) ).

fof(f276,plain,
    ( ~ atomic(tptp1)
    | arboreal(sK16(sK17))
    | ~ spl19_2 ),
    inference(resolution,[],[f137,f254]) ).

fof(f278,plain,
    ( arboreal(sK16(sK17))
    | ~ spl19_2 ),
    inference(forward_subsumption_resolution,[],[f276,f200]) ).

fof(f280,plain,
    arboreal(sK14(sK17)),
    inference(forward_subsumption_resolution,[],[f274,f201]) ).

fof(f305,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ subactivity_occurrence(X3,sK9(X2,X0,X1))
      | min_precedes(X1,X3,X4)
      | X1 = X3
      | ~ occurrence_of(sK9(X2,X0,X1),X4)
      | ~ arboreal(X3)
      | ~ arboreal(X1)
      | ~ min_precedes(X0,X1,X2)
      | min_precedes(X3,X1,X4) ),
    inference(resolution,[],[f172,f179]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ subactivity_occurrence(X3,sK9(X2,X0,X1))
      | min_precedes(X0,X3,X4)
      | X0 = X3
      | ~ occurrence_of(sK9(X2,X0,X1),X4)
      | ~ arboreal(X3)
      | ~ arboreal(X0)
      | ~ min_precedes(X0,X1,X2)
      | min_precedes(X3,X0,X4) ),
    inference(resolution,[],[f173,f179]) ).

fof(f323,plain,
    ~ leaf(sK14(sK17),tptp0),
    inference(resolution,[],[f158,f241]) ).

fof(f347,plain,
    ~ root(sK16(sK17),tptp0),
    inference(resolution,[],[f151,f242]) ).

fof(f388,plain,
    ! [X0] :
      ( ~ subactivity_occurrence(sK15(sK17),X0)
      | ~ occurrence_of(X0,tptp0)
      | subactivity_occurrence(sK14(sK17),X0) ),
    inference(resolution,[],[f180,f241]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ subactivity_occurrence(sK16(sK17),X0)
      | ~ occurrence_of(X0,tptp0)
      | subactivity_occurrence(sK15(sK17),X0) ),
    inference(resolution,[],[f180,f242]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(sK15(sK17),sK9(X0,X1,sK16(sK17)))
      | ~ occurrence_of(sK9(X0,X1,sK16(sK17)),tptp0)
      | ~ min_precedes(X1,sK16(sK17),X0) ),
    inference(resolution,[],[f389,f172]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(sK15(sK17),sK9(X0,sK16(sK17),X1))
      | ~ occurrence_of(sK9(X0,sK16(sK17),X1),tptp0)
      | ~ min_precedes(sK16(sK17),X1,X0) ),
    inference(resolution,[],[f389,f173]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(sK9(X0,sK16(sK17),X1),tptp0)
      | ~ min_precedes(sK16(sK17),X1,X0)
      | ~ occurrence_of(sK9(X0,sK16(sK17),X1),tptp0)
      | subactivity_occurrence(sK14(sK17),sK9(X0,sK16(sK17),X1)) ),
    inference(resolution,[],[f395,f388]) ).

fof(f422,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(sK14(sK17),sK9(X0,sK16(sK17),X1))
      | ~ min_precedes(sK16(sK17),X1,X0)
      | ~ occurrence_of(sK9(X0,sK16(sK17),X1),tptp0) ),
    inference(duplicate_literal_removal,[],[f400]) ).

fof(f485,definition,
    ( spl19_18
  <=> arboreal(sK16(sK17)) ),
    introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).

fof(f486,plain,
    ( arboreal(sK16(sK17))
    | ~ spl19_18 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( ~ arboreal(sK16(sK17))
    | spl19_18 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f491,plain,
    ( ~ atomic(tptp2)
    | arboreal(sK16(sK17))
    | ~ spl19_1 ),
    inference(resolution,[],[f250,f137]) ).

fof(f492,plain,
    ( arboreal(sK16(sK17))
    | ~ spl19_1 ),
    inference(forward_subsumption_resolution,[],[f491,f199]) ).

fof(f493,plain,
    ( $false
    | ~ spl19_1
    | spl19_18 ),
    inference(forward_subsumption_resolution,[],[f492,f487]) ).

fof(f494,plain,
    ( ~ spl19_1
    | spl19_18 ),
    inference(avatar_contradiction_clause,[],[f493]) ).

fof(f495,plain,
    ( $false
    | ~ spl19_2
    | spl19_18 ),
    inference(forward_subsumption_resolution,[],[f278,f487]) ).

fof(f496,plain,
    ( ~ spl19_2
    | spl19_18 ),
    inference(avatar_contradiction_clause,[],[f495]) ).

fof(f607,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(sK9(X0,X1,sK16(sK17)),tptp0)
      | ~ min_precedes(X1,sK16(sK17),X0)
      | ~ occurrence_of(sK9(X0,X1,sK16(sK17)),tptp0)
      | subactivity_occurrence(sK14(sK17),sK9(X0,X1,sK16(sK17))) ),
    inference(resolution,[],[f394,f388]) ).

fof(f629,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(sK14(sK17),sK9(X0,X1,sK16(sK17)))
      | ~ min_precedes(X1,sK16(sK17),X0)
      | ~ occurrence_of(sK9(X0,X1,sK16(sK17)),tptp0) ),
    inference(duplicate_literal_removal,[],[f607]) ).

fof(f653,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(sK16(sK17),X0,X1)
      | ~ occurrence_of(sK9(X1,sK16(sK17),X0),tptp0)
      | min_precedes(sK16(sK17),sK14(sK17),X2)
      | sK14(sK17) = sK16(sK17)
      | ~ occurrence_of(sK9(X1,sK16(sK17),X0),X2)
      | ~ arboreal(sK14(sK17))
      | ~ arboreal(sK16(sK17))
      | ~ min_precedes(sK16(sK17),X0,X1)
      | min_precedes(sK14(sK17),sK16(sK17),X2) ),
    inference(resolution,[],[f422,f314]) ).

fof(f673,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(sK16(sK17),X0,X1)
      | ~ occurrence_of(sK9(X1,sK16(sK17),X0),tptp0)
      | min_precedes(sK16(sK17),sK14(sK17),X2)
      | sK14(sK17) = sK16(sK17)
      | ~ occurrence_of(sK9(X1,sK16(sK17),X0),X2)
      | ~ arboreal(sK14(sK17))
      | ~ arboreal(sK16(sK17))
      | min_precedes(sK14(sK17),sK16(sK17),X2) ),
    inference(duplicate_literal_removal,[],[f653]) ).

fof(f684,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(sK16(sK17),X0,X1)
      | ~ occurrence_of(sK9(X1,sK16(sK17),X0),tptp0)
      | min_precedes(sK16(sK17),sK14(sK17),X2)
      | sK14(sK17) = sK16(sK17)
      | ~ occurrence_of(sK9(X1,sK16(sK17),X0),X2)
      | ~ arboreal(sK16(sK17))
      | min_precedes(sK14(sK17),sK16(sK17),X2) ),
    inference(forward_subsumption_resolution,[],[f673,f280]) ).

fof(f695,plain,
    ( ! [X2,X0,X1] :
        ( ~ min_precedes(sK16(sK17),X0,X1)
        | ~ occurrence_of(sK9(X1,sK16(sK17),X0),tptp0)
        | min_precedes(sK16(sK17),sK14(sK17),X2)
        | sK14(sK17) = sK16(sK17)
        | ~ occurrence_of(sK9(X1,sK16(sK17),X0),X2)
        | min_precedes(sK14(sK17),sK16(sK17),X2) )
    | ~ spl19_18 ),
    inference(forward_subsumption_resolution,[],[f684,f486]) ).

fof(f697,definition,
    ( spl19_32
  <=> sK14(sK17) = sK16(sK17) ),
    introduced(definition,[new_symbols(definition,[spl19_32])],[avatar_definition]) ).

fof(f698,plain,
    ( sK14(sK17) != sK16(sK17)
    | spl19_32 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( sK14(sK17) = sK16(sK17)
    | ~ spl19_32 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f701,definition,
    ( spl19_33
  <=> ! [X2,X0,X1] :
        ( ~ min_precedes(sK16(sK17),X0,X1)
        | min_precedes(sK14(sK17),sK16(sK17),X2)
        | ~ occurrence_of(sK9(X1,sK16(sK17),X0),X2)
        | min_precedes(sK16(sK17),sK14(sK17),X2)
        | ~ occurrence_of(sK9(X1,sK16(sK17),X0),tptp0) ) ),
    introduced(definition,[new_symbols(definition,[spl19_33])],[avatar_definition]) ).

fof(f702,plain,
    ( ! [X2,X0,X1] :
        ( ~ occurrence_of(sK9(X1,sK16(sK17),X0),tptp0)
        | min_precedes(sK14(sK17),sK16(sK17),X2)
        | ~ occurrence_of(sK9(X1,sK16(sK17),X0),X2)
        | min_precedes(sK16(sK17),sK14(sK17),X2)
        | ~ min_precedes(sK16(sK17),X0,X1) )
    | ~ spl19_33 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl19_32
    | spl19_33
    | ~ spl19_18 ),
    inference(avatar_split_clause,[],[f695,f485,f701,f697]) ).

fof(f796,definition,
    ( spl19_40
  <=> ! [X0] : ~ min_precedes(sK16(sK17),X0,tptp0) ),
    introduced(definition,[new_symbols(definition,[spl19_40])],[avatar_definition]) ).

fof(f797,plain,
    ( ! [X0] : ~ min_precedes(sK16(sK17),X0,tptp0)
    | ~ spl19_40 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f808,plain,
    ( ! [X0,X1] :
        ( min_precedes(sK14(sK17),sK16(sK17),X0)
        | ~ occurrence_of(sK9(tptp0,sK16(sK17),X1),X0)
        | min_precedes(sK16(sK17),sK14(sK17),X0)
        | ~ min_precedes(sK16(sK17),X1,tptp0)
        | ~ min_precedes(sK16(sK17),X1,tptp0) )
    | ~ spl19_33 ),
    inference(resolution,[],[f702,f174]) ).

fof(f809,plain,
    ( ! [X0,X1] :
        ( ~ occurrence_of(sK9(tptp0,sK16(sK17),X1),X0)
        | min_precedes(sK14(sK17),sK16(sK17),X0)
        | min_precedes(sK16(sK17),sK14(sK17),X0)
        | ~ min_precedes(sK16(sK17),X1,tptp0) )
    | ~ spl19_33 ),
    inference(duplicate_literal_removal,[],[f808]) ).

fof(f810,plain,
    ( ! [X0] :
        ( min_precedes(sK14(sK17),sK16(sK17),tptp0)
        | min_precedes(sK16(sK17),sK14(sK17),tptp0)
        | ~ min_precedes(sK16(sK17),X0,tptp0)
        | ~ min_precedes(sK16(sK17),X0,tptp0) )
    | ~ spl19_33 ),
    inference(resolution,[],[f809,f174]) ).

fof(f812,plain,
    ( ! [X0] :
        ( min_precedes(sK14(sK17),sK16(sK17),tptp0)
        | min_precedes(sK16(sK17),sK14(sK17),tptp0)
        | ~ min_precedes(sK16(sK17),X0,tptp0) )
    | ~ spl19_33 ),
    inference(duplicate_literal_removal,[],[f810]) ).

fof(f814,definition,
    ( spl19_42
  <=> min_precedes(sK16(sK17),sK14(sK17),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl19_42])],[avatar_definition]) ).

fof(f816,plain,
    ( min_precedes(sK16(sK17),sK14(sK17),tptp0)
    | ~ spl19_42 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f818,definition,
    ( spl19_43
  <=> min_precedes(sK14(sK17),sK16(sK17),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl19_43])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ min_precedes(sK14(sK17),sK16(sK17),tptp0)
    | spl19_43 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( min_precedes(sK14(sK17),sK16(sK17),tptp0)
    | ~ spl19_43 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f824,plain,
    ( ~ occurrence_of(sK16(sK17),tptp1)
    | ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_43 ),
    inference(resolution,[],[f820,f257]) ).

fof(f830,plain,
    ( ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_2
    | ~ spl19_43 ),
    inference(forward_subsumption_resolution,[],[f824,f254]) ).

fof(f831,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_43 ),
    inference(forward_subsumption_resolution,[],[f830,f225]) ).

fof(f832,plain,
    ( ~ spl19_2
    | ~ spl19_43 ),
    inference(avatar_contradiction_clause,[],[f831]) ).

fof(f843,plain,
    ( ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_32 ),
    inference(superposition,[],[f323,f699]) ).

fof(f864,plain,
    ( $false
    | ~ spl19_32 ),
    inference(forward_subsumption_resolution,[],[f843,f225]) ).

fof(f865,plain,
    ~ spl19_32,
    inference(avatar_contradiction_clause,[],[f864]) ).

fof(f869,plain,
    ( spl19_40
    | spl19_42
    | spl19_43
    | ~ spl19_33 ),
    inference(avatar_split_clause,[],[f812,f701,f818,f814,f796]) ).

fof(f1191,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,sK16(sK17),X1)
      | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),tptp0)
      | min_precedes(sK16(sK17),sK14(sK17),X2)
      | sK14(sK17) = sK16(sK17)
      | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),X2)
      | ~ arboreal(sK14(sK17))
      | ~ arboreal(sK16(sK17))
      | ~ min_precedes(X0,sK16(sK17),X1)
      | min_precedes(sK14(sK17),sK16(sK17),X2) ),
    inference(resolution,[],[f629,f305]) ).

fof(f1209,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,sK16(sK17),X1)
      | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),tptp0)
      | min_precedes(sK16(sK17),sK14(sK17),X2)
      | sK14(sK17) = sK16(sK17)
      | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),X2)
      | ~ arboreal(sK14(sK17))
      | ~ arboreal(sK16(sK17))
      | min_precedes(sK14(sK17),sK16(sK17),X2) ),
    inference(duplicate_literal_removal,[],[f1191]) ).

fof(f1216,plain,
    ( ! [X2,X0,X1] :
        ( ~ min_precedes(X0,sK16(sK17),X1)
        | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),tptp0)
        | min_precedes(sK16(sK17),sK14(sK17),X2)
        | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),X2)
        | ~ arboreal(sK14(sK17))
        | ~ arboreal(sK16(sK17))
        | min_precedes(sK14(sK17),sK16(sK17),X2) )
    | spl19_32 ),
    inference(forward_subsumption_resolution,[],[f1209,f698]) ).

fof(f1221,plain,
    ( ! [X2,X0,X1] :
        ( ~ min_precedes(X0,sK16(sK17),X1)
        | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),tptp0)
        | min_precedes(sK16(sK17),sK14(sK17),X2)
        | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),X2)
        | ~ arboreal(sK16(sK17))
        | min_precedes(sK14(sK17),sK16(sK17),X2) )
    | spl19_32 ),
    inference(forward_subsumption_resolution,[],[f1216,f280]) ).

fof(f1222,plain,
    ( ! [X2,X0,X1] :
        ( ~ occurrence_of(sK9(X1,X0,sK16(sK17)),tptp0)
        | ~ min_precedes(X0,sK16(sK17),X1)
        | min_precedes(sK16(sK17),sK14(sK17),X2)
        | ~ occurrence_of(sK9(X1,X0,sK16(sK17)),X2)
        | min_precedes(sK14(sK17),sK16(sK17),X2) )
    | ~ spl19_18
    | spl19_32 ),
    inference(forward_subsumption_resolution,[],[f1221,f486]) ).

fof(f1365,definition,
    ( spl19_85
  <=> ! [X0] : ~ min_precedes(X0,sK16(sK17),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl19_85])],[avatar_definition]) ).

fof(f1366,plain,
    ( ! [X0] : ~ min_precedes(X0,sK16(sK17),tptp0)
    | ~ spl19_85 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f3286,plain,
    ( ! [X0,X1] :
        ( ~ min_precedes(X0,sK16(sK17),tptp0)
        | min_precedes(sK16(sK17),sK14(sK17),X1)
        | ~ occurrence_of(sK9(tptp0,X0,sK16(sK17)),X1)
        | min_precedes(sK14(sK17),sK16(sK17),X1)
        | ~ min_precedes(X0,sK16(sK17),tptp0) )
    | ~ spl19_18
    | spl19_32 ),
    inference(resolution,[],[f1222,f174]) ).

fof(f3287,plain,
    ( ! [X0,X1] :
        ( ~ occurrence_of(sK9(tptp0,X0,sK16(sK17)),X1)
        | min_precedes(sK16(sK17),sK14(sK17),X1)
        | ~ min_precedes(X0,sK16(sK17),tptp0)
        | min_precedes(sK14(sK17),sK16(sK17),X1) )
    | ~ spl19_18
    | spl19_32 ),
    inference(duplicate_literal_removal,[],[f3286]) ).

fof(f3288,plain,
    ( ! [X0] :
        ( min_precedes(sK16(sK17),sK14(sK17),tptp0)
        | ~ min_precedes(X0,sK16(sK17),tptp0)
        | min_precedes(sK14(sK17),sK16(sK17),tptp0)
        | ~ min_precedes(X0,sK16(sK17),tptp0) )
    | ~ spl19_18
    | spl19_32 ),
    inference(resolution,[],[f3287,f174]) ).

fof(f3292,plain,
    ( ! [X0] :
        ( min_precedes(sK16(sK17),sK14(sK17),tptp0)
        | ~ min_precedes(X0,sK16(sK17),tptp0)
        | min_precedes(sK14(sK17),sK16(sK17),tptp0) )
    | ~ spl19_18
    | spl19_32 ),
    inference(duplicate_literal_removal,[],[f3288]) ).

fof(f3294,plain,
    ( ! [X0] :
        ( ~ min_precedes(X0,sK16(sK17),tptp0)
        | min_precedes(sK14(sK17),sK16(sK17),tptp0) )
    | ~ spl19_18
    | spl19_32
    | ~ spl19_40 ),
    inference(forward_subsumption_resolution,[],[f3292,f797]) ).

fof(f3295,plain,
    ( ! [X0] : ~ min_precedes(X0,sK16(sK17),tptp0)
    | ~ spl19_18
    | spl19_32
    | ~ spl19_40
    | spl19_43 ),
    inference(forward_subsumption_resolution,[],[f3294,f819]) ).

fof(f3296,plain,
    ( spl19_85
    | ~ spl19_18
    | spl19_32
    | ~ spl19_40
    | spl19_43 ),
    inference(avatar_split_clause,[],[f3295,f818,f796,f697,f485,f1365]) ).

fof(f3334,plain,
    ( ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_42 ),
    inference(resolution,[],[f816,f158]) ).

fof(f3346,plain,
    ( $false
    | ~ spl19_42 ),
    inference(forward_subsumption_resolution,[],[f3334,f225]) ).

fof(f3347,plain,
    ~ spl19_42,
    inference(avatar_contradiction_clause,[],[f3346]) ).

fof(f3374,plain,
    ( root(sK16(sK17),tptp0)
    | ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_85 ),
    inference(resolution,[],[f1366,f159]) ).

fof(f3381,plain,
    ( ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_85 ),
    inference(forward_subsumption_resolution,[],[f3374,f347]) ).

fof(f3383,plain,
    ( $false
    | ~ spl19_85 ),
    inference(forward_subsumption_resolution,[],[f3381,f225]) ).

fof(f3384,plain,
    ~ spl19_85,
    inference(avatar_contradiction_clause,[],[f3383]) ).

fof(f3408,plain,
    ( ~ occurrence_of(sK16(sK17),tptp2)
    | ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_43 ),
    inference(resolution,[],[f820,f269]) ).

fof(f3429,plain,
    ( ~ leaf(sK16(sK17),tptp0)
    | ~ spl19_1
    | ~ spl19_43 ),
    inference(forward_subsumption_resolution,[],[f3408,f250]) ).

fof(f3432,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_43 ),
    inference(forward_subsumption_resolution,[],[f3429,f225]) ).

fof(f3433,plain,
    ( ~ spl19_1
    | ~ spl19_43 ),
    inference(avatar_contradiction_clause,[],[f3432]) ).

cnf(s1,plain,
    ( spl19_1
    | spl19_2 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s14,plain,
    ( ~ spl19_1
    | spl19_18 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s15,plain,
    ( ~ spl19_2
    | spl19_18 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s40,plain,
    ( ~ spl19_18
    | spl19_32
    | spl19_33 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s46,plain,
    ( ~ spl19_2
    | ~ spl19_43 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s47,plain,
    ~ spl19_32,
    inference(sat_conversion,[],[f865]) ).

cnf(s49,plain,
    ( ~ spl19_33
    | spl19_40
    | spl19_42
    | spl19_43 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s145,plain,
    ( ~ spl19_18
    | spl19_32
    | ~ spl19_40
    | spl19_43
    | spl19_85 ),
    inference(sat_conversion,[],[f3296]) ).

cnf(s149,plain,
    ~ spl19_42,
    inference(sat_conversion,[],[f3347]) ).

cnf(s157,plain,
    ~ spl19_85,
    inference(sat_conversion,[],[f3384]) ).

cnf(s163,plain,
    ( ~ spl19_1
    | ~ spl19_43 ),
    inference(sat_conversion,[],[f3433]) ).

cnf(s165,plain,
    ( ~ spl19_18
    | spl19_32
    | ~ spl19_40
    | spl19_43 ),
    inference(rat,[],[s145,s157]) ).

cnf(s171,plain,
    ( ~ spl19_33
    | spl19_40
    | spl19_43 ),
    inference(rat,[],[s49,s149]) ).

cnf(s174,plain,
    ( ~ spl19_18
    | spl19_33 ),
    inference(rat,[],[s40,s47]) ).

cnf(s177,plain,
    ( ~ spl19_18
    | spl19_43 ),
    inference(rat,[],[s171,s174,s165,s47]) ).

cnf(s178,plain,
    ~ spl19_2,
    inference(rat,[],[s177,s15,s46]) ).

cnf(s180,plain,
    spl19_1,
    inference(rat,[],[s1,s178]) ).

cnf(s181,plain,
    ~ spl19_43,
    inference(rat,[],[s163,s180]) ).

cnf(s182,plain,
    spl19_18,
    inference(rat,[],[s14,s180]) ).

cnf(s183,plain,
    $false,
    inference(rat,[],[s177,s181,s182]) ).

fof(f3434,plain,
    $false,
    inference(avatar_sat_refutation,[],[s183]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO014+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n013.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 22:21:51 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.40/2.19  % (609856)Detected formulas, will run a generic FOF schedule.
% 9.40/2.19  % (609864)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1961878189:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.40/2.19  % (609864)Refutation not found, incomplete strategy
% 9.40/2.19  % (609864)------------------------------
% 9.40/2.19  % (609864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609864)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609864)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.19  % (609864)Time elapsed: 0.002 s
% 9.40/2.19  % (609864)Peak memory usage: 88 MB
% 9.40/2.19  % (609864)Instructions burned: 4 (million)
% 9.40/2.19  % (609862)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2251186941:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.40/2.19  % (609865)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3849286923:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.40/2.19  % (609861)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2552950799:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.40/2.19  % (609863)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4150735851:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.40/2.19  % (609866)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=314048131:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.40/2.19  % (609867)dis-21_1_sil=8000:lcm=predicate:random_seed=845326981:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.40/2.19  % (609865)Instruction limit reached! 
% 9.40/2.19  % (609865)------------------------------
% 9.40/2.19  % (609865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609865)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609865)Termination reason: Instruction limit
% 9.40/2.19  % (609865)Termination phase: Saturation
% 9.40/2.19  % (609865)Time elapsed: 0.074 s
% 9.40/2.19  % (609865)Peak memory usage: 88 MB
% 9.40/2.19  % (609865)Instructions burned: 120 (million)
% 9.40/2.19  % (609867)Instruction limit reached! 
% 9.40/2.19  % (609867)------------------------------
% 9.40/2.19  % (609867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609867)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609867)Termination reason: Instruction limit
% 9.40/2.19  % (609867)Termination phase: Saturation
% 9.40/2.19  % (609867)Time elapsed: 0.077 s
% 9.40/2.19  % (609867)Peak memory usage: 89 MB
% 9.40/2.19  % (609867)Instructions burned: 129 (million)
% 9.40/2.19  % (609866)Instruction limit reached! 
% 9.40/2.19  % (609866)------------------------------
% 9.40/2.19  % (609866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609866)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609866)Termination reason: Instruction limit
% 9.40/2.19  % (609866)Termination phase: Saturation
% 9.40/2.19  % (609866)Time elapsed: 0.102 s
% 9.40/2.19  % (609866)Peak memory usage: 90 MB
% 9.40/2.19  % (609866)Instructions burned: 140 (million)
% 9.40/2.19  % (609864)------------------------------
% 9.40/2.19  % (609864)------------------------------
% 9.40/2.19  % (609875)lrs+10_1_sil=8000:sp=occurrence:random_seed=3099297947:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.40/2.19  % (609878)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1856358123:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.40/2.19  % (609876)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1190049763:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.40/2.19  % (609877)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2906367813:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.40/2.19  % (609876)Refutation not found, incomplete strategy
% 9.40/2.19  % (609876)------------------------------
% 9.40/2.19  % (609876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609876)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609876)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.19  % (609876)Time elapsed: 0.013 s
% 9.40/2.19  % (609876)Peak memory usage: 88 MB
% 9.40/2.19  % (609876)Instructions burned: 21 (million)
% 9.40/2.19  % (609878)Instruction limit reached! 
% 9.40/2.19  % (609878)------------------------------
% 9.40/2.19  % (609878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609878)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609878)Termination reason: Instruction limit
% 9.40/2.19  % (609878)Termination phase: Saturation
% 9.40/2.19  % (609878)Time elapsed: 0.072 s
% 9.40/2.19  % (609878)Peak memory usage: 89 MB
% 9.40/2.19  % (609878)Instructions burned: 252 (million)
% 9.40/2.19  % (609883)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3400750027:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.40/2.19  % (609875)Instruction limit reached! 
% 9.40/2.19  % (609875)------------------------------
% 9.40/2.19  % (609875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609875)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609875)Termination reason: Instruction limit
% 9.40/2.19  % (609875)Termination phase: Saturation
% 9.40/2.19  % (609875)Time elapsed: 0.184 s
% 9.40/2.19  % (609875)Peak memory usage: 91 MB
% 9.40/2.19  % (609875)Instructions burned: 286 (million)
% 9.40/2.19  % (609883)Instruction limit reached! 
% 9.40/2.19  % (609883)------------------------------
% 9.40/2.19  % (609883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609883)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609883)Termination reason: Instruction limit
% 9.40/2.19  % (609883)Termination phase: Saturation
% 9.40/2.19  % (609883)Time elapsed: 0.091 s
% 9.40/2.19  % (609883)Peak memory usage: 89 MB
% 9.40/2.19  % (609883)Instructions burned: 297 (million)
% 9.40/2.19  % (609877)Instruction limit reached! 
% 9.40/2.19  % (609877)------------------------------
% 9.40/2.19  % (609877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609877)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609877)Termination reason: Instruction limit
% 9.40/2.19  % (609877)Termination phase: Saturation
% 9.40/2.19  % (609877)Time elapsed: 0.221 s
% 9.40/2.19  % (609877)Peak memory usage: 92 MB
% 9.40/2.19  % (609877)Instructions burned: 326 (million)
% 9.40/2.19  % (609876)------------------------------
% 9.40/2.19  % (609876)------------------------------
% 9.40/2.19  % (609885)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3644107362:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.40/2.19  % (609887)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3222823748:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.40/2.19  % (609886)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=337197952:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.40/2.19  % (609887)Instruction limit reached! 
% 9.40/2.19  % (609887)------------------------------
% 9.40/2.19  % (609887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609887)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609887)Termination reason: Instruction limit
% 9.40/2.19  % (609887)Termination phase: Saturation
% 9.40/2.19  % (609887)Time elapsed: 0.036 s
% 9.40/2.19  % (609887)Peak memory usage: 89 MB
% 9.40/2.19  % (609887)Instructions burned: 128 (million)
% 9.40/2.19  % (609888)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=680612991:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.40/2.19  % (609886)Instruction limit reached! 
% 9.40/2.19  % (609886)------------------------------
% 9.40/2.19  % (609886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609886)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609886)Termination reason: Instruction limit
% 9.40/2.19  % (609886)Termination phase: Saturation
% 9.40/2.19  % (609886)Time elapsed: 0.080 s
% 9.40/2.19  % (609886)Peak memory usage: 90 MB
% 9.40/2.19  % (609886)Instructions burned: 114 (million)
% 9.40/2.19  % (609888)Instruction limit reached! 
% 9.40/2.19  % (609888)------------------------------
% 9.40/2.19  % (609888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609888)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609888)Termination reason: Instruction limit
% 9.40/2.19  % (609888)Termination phase: Saturation
% 9.40/2.19  % (609888)Time elapsed: 0.072 s
% 9.40/2.19  % (609888)Peak memory usage: 89 MB
% 9.40/2.19  % (609888)Instructions burned: 114 (million)
% 9.40/2.19  % (609892)lrs+10_1_sil=8000:sp=occurrence:random_seed=2827084208:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.40/2.19  % (609894)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=235283045:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.40/2.19  % (609895)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=960212289:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.40/2.19  % (609861)First to succeed.
% 9.40/2.19  % (609861)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-609856"
% 9.40/2.19  % (609862)Also succeeded, but the first one will report.
% 9.40/2.19  % (609894)Instruction limit reached! 
% 9.40/2.19  % (609894)------------------------------
% 9.40/2.19  % (609894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.19  % (609894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.19  % (609894)CaDiCaL version: 2.1.3
% 9.40/2.19  % (609894)Termination reason: Instruction limit
% 9.40/2.19  % (609894)Termination phase: Saturation
% 9.40/2.19  % (609894)Time elapsed: 0.253 s
% 9.40/2.19  % (609894)Peak memory usage: 90 MB
% 9.40/2.19  % (609894)Instructions burned: 438 (million)
% 9.40/2.19  % (609899)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1231723561:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.40/2.19  % (609861)Refutation found. Thanks to Tanya!
% 9.40/2.19  % SZS status Theorem for theBenchmark
% 9.40/2.19  % SZS output start Proof for theBenchmark
% See solution above
% 9.91/2.28  % (609861)------------------------------
% 9.91/2.28  % (609861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.28  % (609861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.28  % (609861)CaDiCaL version: 2.1.3
% 9.91/2.28  % (609861)Termination reason: Refutation
% 9.91/2.28  % (609861)Time elapsed: 0.941 s
% 9.91/2.28  % (609861)Peak memory usage: 133 MB
% 9.91/2.28  % (609861)Instructions burned: 1405 (million)
% 9.91/2.28  % (609861)------------------------------
% 9.91/2.28  % (609861)------------------------------
% 9.91/2.28  % (609856)Success in time 1.341 s
% 9.91/2.28  % Vampire exiting
%------------------------------------------------------------------------------